TSTP Solution File: SYO042^1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO042^1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 17:31:38 EDT 2022
% Result : Unsatisfiable 0.20s 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 6
% Syntax : Number of formulae : 110 ( 40 unt; 5 typ; 0 def)
% Number of atoms : 915 ( 263 equ; 9 cnn)
% Maximal formula atoms : 7 ( 8 avg)
% Number of connectives : 459 ( 175 ~; 151 |; 12 &; 121 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_g,type,
g: $o > $o ).
thf(tp_p,type,
p: ( $o > $o ) > $o ).
thf(tp_sK1_E,type,
sK1_E: $o ).
thf(tp_x,type,
x: $o ).
thf(tp_y,type,
y: $o ).
thf(1,axiom,
( ( x != y )
& ( ( g @ x )
= y )
& ( ( g @ y )
= x )
& ( p @ g )
& ~ ( p @ (~) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',4) ).
thf(5,plain,
( ( ( x != y )
& ( ( g @ x )
= y )
& ( ( g @ y )
= x )
& ( p @ g )
& ~ ( p @ (~) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[1]) ).
thf(6,plain,
( ( ( x != y )
& ( ( g @ x )
= y )
& ( ( g @ y )
= x )
& ( p @ g )
& ~ ( p @ (~) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(8,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) )
| ~ ( p @ g ) )
| ~ ~ ( p @ (~) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(10,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) )
| ~ ( p @ g ) )
| ~ ~ ( p @ (~) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) )
| ~ ( p @ g ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[10]) ).
thf(12,plain,
( ( ~ ~ ( p @ (~) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) )
| ~ ( p @ g ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ( p @ (~) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) )
| ~ ( p @ g ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( p @ (~) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ( p @ g ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( p @ g )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(23,plain,
( ( ( ( g @ y )
!= x ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(25,plain,
( ( ( g @ y )
= x )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(26,plain,
( ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(27,plain,
( ( ~ ( ( g @ y )
| x )
| ~ ( ~ ( g @ y )
| ~ x ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[25]) ).
thf(28,plain,
( ( ( g @ y )
= x )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ( ( x != y ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
( ( ( ( g @ x )
!= y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(31,plain,
( ( ( ~ ( ( g @ y )
| x ) )
= $true )
| ( ( ~ ( ~ ( g @ y )
| ~ x ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(32,plain,
( ( ( x != y ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(33,plain,
( ( ( g @ x )
= y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(34,plain,
( ( ( ( g @ y )
| x )
= $false )
| ( ( ~ ( ~ ( g @ y )
| ~ x ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(35,plain,
( ( x = y )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
( ( ~ ( ( g @ x )
| y )
| ~ ( ~ ( g @ x )
| ~ y ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[33]) ).
thf(37,plain,
( ( ( g @ x )
= y )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[33]) ).
thf(38,plain,
( ( ( g @ y )
= $false )
| ( ( ~ ( ~ ( g @ y )
| ~ x ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(39,plain,
( ( x = $false )
| ( ( ~ ( ~ ( g @ y )
| ~ x ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(40,plain,
( ( ~ ( x
| y )
| ~ ( ~ x
| ~ y ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[35]) ).
thf(41,plain,
( ( x = y )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[35]) ).
thf(42,plain,
( ( ( ~ ( ( g @ x )
| y ) )
= $true )
| ( ( ~ ( ~ ( g @ x )
| ~ y ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(43,plain,
( ( ( ~ ( g @ y )
| ~ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(44,plain,
( ( ( ~ ( g @ y )
| ~ x )
= $false )
| ( x = $false ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(45,plain,
( ( ~ ( x
| y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(46,plain,
( ( ~ ( ~ x
| ~ y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(47,plain,
( ( ( ( g @ x )
| y )
= $false )
| ( ( ~ ( ~ ( g @ x )
| ~ y ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(49,plain,
( ( ( ~ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(50,plain,
( ( ( ~ ( g @ y ) )
= $false )
| ( x = $false ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(52,plain,
( ( x
| y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(53,plain,
( ( ~ x
| ~ y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(54,plain,
( ( ( g @ x )
= $false )
| ( ( ~ ( ~ ( g @ x )
| ~ y ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(55,plain,
( ( y = $false )
| ( ( ~ ( ~ ( g @ x )
| ~ y ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(57,plain,
( ( x = $true )
| ( ( g @ y )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(58,plain,
( ( ( g @ y )
= $true )
| ( x = $false ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(60,plain,
( ( x = $true )
| ( y = $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(61,plain,
( ( ( ~ x )
= $true )
| ( ( ~ y )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(62,plain,
( ( ( ~ ( g @ x )
| ~ y )
= $false )
| ( ( g @ x )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(63,plain,
( ( ( ~ ( g @ x )
| ~ y )
= $false )
| ( y = $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(64,plain,
( ( x = $false )
| ( ( ~ y )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
( ( ( ~ y )
= $false )
| ( ( g @ x )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(67,plain,
( ( ( ~ ( g @ x ) )
= $false )
| ( y = $false ) ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(69,plain,
( ( y = $false )
| ( x = $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(71,plain,
( ( y = $true )
| ( ( g @ x )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(72,plain,
( ( ( g @ x )
= $true )
| ( y = $false ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(102,plain,
( ( ( p @ g )
= ( p @ (~) ) )
= $false ),
inference(res,[status(thm)],[20,16]) ).
thf(103,plain,
( ( ( g @ sK1_E )
= $true )
| ( ( ~ sK1_E )
= $true ) ),
inference(extuni,[status(esa)],[102]) ).
thf(104,plain,
( ( ( g @ sK1_E )
= $false )
| ( ( ~ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[102]) ).
thf(105,plain,
( ( sK1_E = $true )
| ( ( g @ sK1_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(106,plain,
( ( sK1_E = $false )
| ( ( g @ sK1_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(108,plain,
( ( ( g @ y )
= $true )
| ( x = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[28]) ).
thf(109,plain,
( ( ( g @ y )
= $false )
| ( x = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[28]) ).
thf(111,plain,
( ( ( g @ x )
= $true )
| ( y = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[37]) ).
thf(112,plain,
( ( ( g @ x )
= $false )
| ( y = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[37]) ).
thf(113,plain,
( ( ( x = y )
= ( ( g @ x )
= y ) )
= $false ),
inference(res,[status(thm)],[41,37]) ).
thf(114,plain,
( ( ( x = y )
= ( ( g @ y )
= x ) )
= $false ),
inference(res,[status(thm)],[41,28]) ).
thf(116,plain,
( ( y = $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[114]) ).
thf(117,plain,
( ( y = $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[114]) ).
thf(118,plain,
( ( y = $true )
| ( x = $true )
| ( x = $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[114]) ).
thf(121,plain,
( ( y = $false )
| ( x = $false )
| ( x = $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[114]) ).
thf(122,plain,
( ( x = $true )
| ( y = $true )
| ( y = $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[113]) ).
thf(125,plain,
( ( x = $false )
| ( y = $false )
| ( y = $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[113]) ).
thf(126,plain,
( ( x = $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[113]) ).
thf(127,plain,
( ( x = $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[113]) ).
thf(128,plain,
( ( y = $false )
| ( x = $false )
| ( ( g @ y )
= $false ) ),
inference(sim,[status(thm)],[121]) ).
thf(129,plain,
( ( y = $true )
| ( x = $true )
| ( ( g @ y )
= $true ) ),
inference(sim,[status(thm)],[118]) ).
thf(130,plain,
( ( x = $false )
| ( y = $false )
| ( ( g @ x )
= $false ) ),
inference(sim,[status(thm)],[125]) ).
thf(131,plain,
( ( x = $true )
| ( y = $true )
| ( ( g @ x )
= $true ) ),
inference(sim,[status(thm)],[122]) ).
thf(151,plain,
( ( ( x = x )
= $false )
| ( y = $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[60,58]) ).
thf(159,plain,
( ( ( g @ y )
= $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[151]) ).
thf(166,plain,
( ( ( x = x )
= $false )
| ( y = $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[69,57]) ).
thf(175,plain,
( ( ( g @ y )
= $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[166]) ).
thf(181,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[71,69]) ).
thf(195,plain,
( ( x = $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[181]) ).
thf(202,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[72,60]) ).
thf(215,plain,
( ( x = $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[202]) ).
thf(221,plain,
( ( ( ( g @ sK1_E )
= ( g @ x ) )
= $false )
| ( sK1_E = $true )
| ( y = $false ) ),
inference(res,[status(thm)],[105,72]) ).
thf(229,plain,
( ( ( ( g @ sK1_E )
= ( g @ y ) )
= $false )
| ( sK1_E = $true )
| ( x = $false ) ),
inference(res,[status(thm)],[105,58]) ).
thf(237,plain,
( ( x = $false )
| ( sK1_E = $true )
| ( sK1_E = $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[229]) ).
thf(239,plain,
( ( y = $false )
| ( sK1_E = $true )
| ( sK1_E = $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[221]) ).
thf(241,plain,
( ( x = $false )
| ( sK1_E = $true )
| ( y = $true ) ),
inference(sim,[status(thm)],[237]) ).
thf(242,plain,
( ( y = $false )
| ( sK1_E = $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[239]) ).
thf(249,plain,
( ( ( ( g @ sK1_E )
= ( g @ x ) )
= $false )
| ( sK1_E = $false )
| ( y = $true ) ),
inference(res,[status(thm)],[106,71]) ).
thf(257,plain,
( ( ( ( g @ sK1_E )
= ( g @ y ) )
= $false )
| ( sK1_E = $false )
| ( x = $true ) ),
inference(res,[status(thm)],[106,57]) ).
thf(265,plain,
( ( x = $true )
| ( sK1_E = $false )
| ( sK1_E = $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[257]) ).
thf(267,plain,
( ( y = $true )
| ( sK1_E = $false )
| ( sK1_E = $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[249]) ).
thf(270,plain,
( ( x = $true )
| ( sK1_E = $false )
| ( y = $false ) ),
inference(sim,[status(thm)],[265]) ).
thf(271,plain,
( ( y = $true )
| ( sK1_E = $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[267]) ).
thf(272,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[16,271,270,242,241,215,195,175,159,131,130,129,128,127,126,117,116,112,111,109,108,106,105,72,71,69,60,58,57,41,37,28,20]) ).
thf(273,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO042^1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 04:38:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 1
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: true
% 0.13/0.35 (rf:0,axioms:1,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3,loop_count:0,foatp_calls:0,translation:fof_full).....
% 0.20/0.48
% 0.20/0.48 ********************************
% 0.20/0.48 * All subproblems solved! *
% 0.20/0.48 ********************************
% 0.20/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:272,loop_count:20,foatp_calls:4,translation:fof_full)
% 0.20/0.49
% 0.20/0.49 %**** Beginning of derivation protocol ****
% 0.20/0.49 % SZS output start CNFRefutation
% See solution above
% 0.20/0.49
% 0.20/0.49 %**** End of derivation protocol ****
% 0.20/0.49 %**** no. of clauses in derivation: 105 ****
% 0.20/0.49 %**** clause counter: 272 ****
% 0.20/0.49
% 0.20/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:272,loop_count:20,foatp_calls:4,translation:fof_full)
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